The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups - Couverture rigide

Kowalski, E.

 
9780521888516: The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
Couverture rigide
ISBN 10 : 0521888514 ISBN 13 : 9780521888516
Editeur : Cambridge University Press, 2008

Synopsis

Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.

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À propos de l?auteur

Emmanuel Kowalski is Professor in the Departement Mathematik at ETH Zürich.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521888514
ISBN 13 
9780521888516
Reliure
Relié
Numéro d'édition
1
Nombre de pages
316
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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